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		<title>The Constrained Optimization Problem In Eq - Versionsgeschichte</title>
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		<title>LeolaHardwicke am 19. September 2025 um 02:16 Uhr</title>
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				<updated>2025-09-19T02:16:41Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
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			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 19. September 2025, 02:16 Uhr&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;br&amp;gt;Issue date 2021 May. To &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;achieve &lt;/del&gt;highly accelerated sub-millimeter &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;decision &lt;/del&gt;T2-weighted &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;useful &lt;/del&gt;MRI at 7T by &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;developing &lt;/del&gt;a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;3&lt;/del&gt;-dimensional gradient and spin echo imaging (GRASE) with internal-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;volume selection &lt;/del&gt;and variable flip angles (VFA). GRASE imaging has disadvantages in that 1) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ok&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;area &lt;/del&gt;modulation causes T2 blurring by limiting the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;variety &lt;/del&gt;of slices and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://krtie.co/aozshani392072 BloodVitals SPO2] &lt;/del&gt;2) a VFA scheme &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;results in &lt;/del&gt;partial success with substantial SNR loss. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;On &lt;/del&gt;this work, accelerated GRASE with &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;controlled &lt;/del&gt;T2 blurring is developed to improve some extent spread &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;operate &lt;/del&gt;(PSF) and temporal &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;signal&lt;/del&gt;-to-noise ratio (tSNR) with &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;numerous &lt;/del&gt;slices. Numerical and experimental studies &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;had &lt;/del&gt;been &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;performed &lt;/del&gt;to validate the effectiveness of the proposed methodology over common and VFA GRASE (R- and V-GRASE). The proposed &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;technique&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;while &lt;/del&gt;reaching 0.8mm isotropic decision, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;practical &lt;/del&gt;MRI in comparison with R- and V-GRASE improves the spatial extent of the excited &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;volume &lt;/del&gt;as much as 36 slices with 52% to 68% full width at half &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;most &lt;/del&gt;(FWHM) discount in PSF however approximately 2- to 3-fold &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;imply &lt;/del&gt;tSNR &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;improvement&lt;/del&gt;, thus &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;resulting in greater &lt;/del&gt;Bold activations.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;We &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;successfully &lt;/del&gt;demonstrated the feasibility of the proposed method in T2-weighted &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;practical &lt;/del&gt;MRI. The proposed &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;methodology &lt;/del&gt;is very promising for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://registry.gametuoitho.vn/jfnandrew73403 BloodVitals insights] &lt;/del&gt;cortical layer-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;particular useful &lt;/del&gt;MRI. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Because &lt;/del&gt;the introduction of blood oxygen &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;degree &lt;/del&gt;dependent (Bold) contrast (1, 2), &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;practical &lt;/del&gt;MRI (fMRI) has &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;grow to be &lt;/del&gt;one of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;the &lt;/del&gt;mostly used methodologies for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [http://giggetter.com/blog/19271/bloodvitals-spo2-the-ultimate-home-blood-monitoring-device/ BloodVitals SPO2] &lt;/del&gt;neuroscience. 6-9), wherein Bold results originating from bigger diameter draining veins &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;might &lt;/del&gt;be &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;considerably &lt;/del&gt;distant from the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;precise sites &lt;/del&gt;of neuronal exercise. To concurrently obtain excessive spatial decision &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;whereas &lt;/del&gt;mitigating geometric distortion within a single acquisition, interior-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;volume choice &lt;/del&gt;approaches have been utilized (9-13). These approaches use slab selective excitation and refocusing RF pulses to excite voxels &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inside &lt;/del&gt;their intersection, and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://gitlab-ng.conmet.it/felixpohlman4 BloodVitals SPO2] limit &lt;/del&gt;the field-of-view (FOV), &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/del&gt;which the required number of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;section&lt;/del&gt;-encoding (PE) steps are lowered at the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;identical &lt;/del&gt;resolution &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;so &lt;/del&gt;that the EPI echo &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;train length becomes &lt;/del&gt;shorter &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;along &lt;/del&gt;the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;section &lt;/del&gt;encoding direction. Nevertheless, the utility of the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;inside&lt;/del&gt;-volume based mostly SE-EPI has been limited to a flat piece of cortex with anisotropic decision for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;masking &lt;/del&gt;minimally curved grey matter &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;space &lt;/del&gt;(9-11). This makes it difficult to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;find applications &lt;/del&gt;beyond &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;primary visual &lt;/del&gt;areas &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;notably &lt;/del&gt;within the case of requiring isotropic high resolutions in other cortical areas.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;3D gradient and spin echo imaging (GRASE) with &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;interior&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;volume &lt;/del&gt;selection, which applies &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a number of &lt;/del&gt;refocusing RF pulses interleaved with EPI echo trains &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;at the side of &lt;/del&gt;SE-EPI, alleviates this &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;problem &lt;/del&gt;by permitting for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [http://code.sz-chaohui.cn/rosiedowner585 BloodVitals test] &lt;/del&gt;extended volume imaging with &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;high &lt;/del&gt;isotropic decision (12-14). One major concern of utilizing GRASE is &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;image &lt;/del&gt;blurring with a wide &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;level &lt;/del&gt;spread &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;operate &lt;/del&gt;(PSF) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/del&gt;the partition route because of the T2 filtering effect over the refocusing pulse practice (15, 16). To reduce the image blurring, a variable flip angle (VFA) scheme (17, 18) has been included into the GRASE sequence. The VFA systematically modulates the refocusing flip angles as a way to sustain the sign &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;strength &lt;/del&gt;throughout the echo &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;train &lt;/del&gt;(19), thus rising the Bold &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;signal modifications &lt;/del&gt;in the presence of T1-T2 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;combined &lt;/del&gt;contrasts (20, 21). Despite these advantages, VFA GRASE &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;still leads to significant &lt;/del&gt;lack of temporal SNR (tSNR) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;attributable to lowered &lt;/del&gt;refocusing flip angles. Accelerated acquisition in GRASE is an appealing imaging choice to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;cut back &lt;/del&gt;both refocusing pulse and EPI &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;practice &lt;/del&gt;length at the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;same &lt;/del&gt;time.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;On this context, accelerated GRASE coupled with image reconstruction &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;methods &lt;/del&gt;holds nice potential for both &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;reducing &lt;/del&gt;picture blurring or improving spatial volume &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;along each &lt;/del&gt;partition and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;part &lt;/del&gt;encoding instructions. By exploiting multi-coil redundancy in alerts, parallel imaging has been efficiently &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;applied &lt;/del&gt;to all anatomy of the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;body &lt;/del&gt;and works for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;both &lt;/del&gt;2D and 3D acquisitions (22-25). Kemper et al (19) explored a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;mixture &lt;/del&gt;of VFA GRASE with parallel imaging to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;extend &lt;/del&gt;quantity coverage. However, the limited FOV, localized by only a few receiver coils, potentially causes excessive geometric issue (g-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;factor&lt;/del&gt;) values &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;as a consequence &lt;/del&gt;of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ailing&lt;/del&gt;-conditioning of the inverse &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;drawback &lt;/del&gt;by &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;together with &lt;/del&gt;the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;massive &lt;/del&gt;number of coils &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;which &lt;/del&gt;are distant from the area of interest, thus making it &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;challenging &lt;/del&gt;to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;realize &lt;/del&gt;detailed sign evaluation. 2) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;sign &lt;/del&gt;variations between the same &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;phase &lt;/del&gt;encoding (PE) traces &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;across &lt;/del&gt;time introduce &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;image &lt;/del&gt;distortions &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;during &lt;/del&gt;reconstruction with temporal regularization. To handle these &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;issues&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [http://www.vokipedia.de/index.php?title=Benutzer:KatriceAusterlit BloodVitals SPO2] &lt;/del&gt;Bold activation needs to be separately evaluated for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://xqr.ai/margaritad BloodVitals SPO2] each &lt;/del&gt;spatial and temporal &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;traits&lt;/del&gt;. A time-series of fMRI photos was then reconstructed &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;under &lt;/del&gt;the framework of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;sturdy &lt;/del&gt;principal &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;element evaluation &lt;/del&gt;(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ok&lt;/del&gt;-t RPCA) (37-40) which &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;may &lt;/del&gt;resolve probably correlated data from unknown partially correlated &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;photographs &lt;/del&gt;for reduction of serial correlations.&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;br&amp;gt;Issue date 2021 May. To &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;attain &lt;/ins&gt;highly accelerated sub-millimeter &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;resolution &lt;/ins&gt;T2-weighted &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;practical &lt;/ins&gt;MRI at 7T by &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;growing &lt;/ins&gt;a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;three&lt;/ins&gt;-dimensional gradient and spin echo imaging (GRASE) with internal-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;quantity choice &lt;/ins&gt;and variable flip angles (VFA). GRASE imaging has disadvantages in that 1) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;k&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;house &lt;/ins&gt;modulation causes T2 blurring by limiting the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;number &lt;/ins&gt;of slices and 2) a VFA scheme &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;leads to &lt;/ins&gt;partial success with substantial SNR loss. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;In &lt;/ins&gt;this work, accelerated GRASE with &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;managed &lt;/ins&gt;T2 blurring is developed to improve some extent spread &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;perform &lt;/ins&gt;(PSF) and temporal &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;sign&lt;/ins&gt;-to-noise ratio (tSNR) with &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a lot of &lt;/ins&gt;slices. Numerical and experimental studies &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;have &lt;/ins&gt;been &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;carried out &lt;/ins&gt;to validate the effectiveness of the proposed methodology over common and VFA GRASE (R- and V-GRASE). The proposed &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;methodology&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;whereas &lt;/ins&gt;reaching 0.8mm isotropic decision, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;purposeful &lt;/ins&gt;MRI in comparison with R- and V-GRASE improves the spatial extent of the excited &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;quantity &lt;/ins&gt;as much as 36 slices with 52% to 68% full width at half &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;maximum &lt;/ins&gt;(FWHM) discount in PSF however approximately 2- to 3-fold &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;mean &lt;/ins&gt;tSNR &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;enchancment&lt;/ins&gt;, thus &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;leading to larger &lt;/ins&gt;Bold activations.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;We &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;efficiently &lt;/ins&gt;demonstrated the feasibility of the proposed method in T2-weighted &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;purposeful &lt;/ins&gt;MRI. The proposed &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;technique &lt;/ins&gt;is very promising for cortical layer-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;specific purposeful &lt;/ins&gt;MRI. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;For &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;reason that &lt;/ins&gt;introduction of blood oxygen &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;stage &lt;/ins&gt;dependent (Bold) contrast (1, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [https://projectdiscover.eu/blog/index.php?entryid=19118 BloodVitals SPO2] &lt;/ins&gt;2), &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;useful &lt;/ins&gt;MRI (fMRI) has &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;become &lt;/ins&gt;one of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;many &lt;/ins&gt;mostly used methodologies for neuroscience. 6-9), wherein Bold results originating from bigger diameter draining veins &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;may &lt;/ins&gt;be &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;significantly &lt;/ins&gt;distant from the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;actual websites &lt;/ins&gt;of neuronal exercise. To concurrently obtain excessive spatial decision &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;while &lt;/ins&gt;mitigating geometric distortion within a single acquisition, interior-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;quantity selection &lt;/ins&gt;approaches have been utilized (9-13). These approaches use slab selective excitation and refocusing RF pulses to excite voxels &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;within &lt;/ins&gt;their intersection, and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;restrict &lt;/ins&gt;the field-of-view (FOV), &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;during &lt;/ins&gt;which the required number of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;phase&lt;/ins&gt;-encoding (PE) steps are lowered at the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;same &lt;/ins&gt;resolution &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;in order &lt;/ins&gt;that the EPI echo &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;prepare size turns into &lt;/ins&gt;shorter &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;alongside &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;phase &lt;/ins&gt;encoding direction. Nevertheless, the utility of the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;inner&lt;/ins&gt;-volume based mostly SE-EPI has been limited to a flat piece of cortex with anisotropic decision for &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;protecting &lt;/ins&gt;minimally curved grey matter &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;area &lt;/ins&gt;(9-11). This makes it difficult to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;seek out functions &lt;/ins&gt;beyond &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;main visible &lt;/ins&gt;areas &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;particularly &lt;/ins&gt;within the case of requiring isotropic high resolutions in other cortical areas.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;3D gradient and spin echo imaging (GRASE) with &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;internal&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;quantity &lt;/ins&gt;selection, which applies &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;multiple &lt;/ins&gt;refocusing RF pulses interleaved with EPI echo trains &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;together with &lt;/ins&gt;SE-EPI, alleviates this &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;drawback &lt;/ins&gt;by permitting for extended volume imaging with &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;excessive &lt;/ins&gt;isotropic decision (12-14). One major concern of utilizing GRASE is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;picture &lt;/ins&gt;blurring with a wide &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;point &lt;/ins&gt;spread &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;perform &lt;/ins&gt;(PSF) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;within &lt;/ins&gt;the partition route because of the T2 filtering effect over the refocusing pulse practice (15, 16). To reduce the image blurring, a variable flip angle (VFA) scheme (17, 18) has been included into the GRASE sequence. The VFA systematically modulates the refocusing flip angles as a way to sustain the sign &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;energy &lt;/ins&gt;throughout the echo &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;prepare &lt;/ins&gt;(19), thus rising the Bold &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;sign adjustments &lt;/ins&gt;in the presence of T1-T2 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;blended &lt;/ins&gt;contrasts (20, 21). Despite these advantages, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [http://www.vokipedia.de/index.php?title=Benutzer:LeolaHardwicke BloodVitals SPO2] &lt;/ins&gt;VFA GRASE &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;nonetheless results in vital &lt;/ins&gt;lack of temporal SNR (tSNR) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;on account of diminished &lt;/ins&gt;refocusing flip angles. Accelerated acquisition in GRASE is an appealing imaging choice to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;reduce &lt;/ins&gt;both refocusing pulse and EPI &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;prepare &lt;/ins&gt;length at the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;identical &lt;/ins&gt;time.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;On this context, accelerated GRASE coupled with image reconstruction &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;techniques &lt;/ins&gt;holds nice potential for both &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;lowering &lt;/ins&gt;picture blurring or improving spatial volume &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;alongside both &lt;/ins&gt;partition and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;phase &lt;/ins&gt;encoding instructions. By exploiting multi-coil redundancy in alerts, parallel imaging has been efficiently &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;utilized &lt;/ins&gt;to all anatomy of the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;physique &lt;/ins&gt;and works for &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;each &lt;/ins&gt;2D and 3D acquisitions (22-25). Kemper et al (19) explored a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;combination &lt;/ins&gt;of VFA GRASE with parallel imaging to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;increase &lt;/ins&gt;quantity coverage. However, the limited FOV, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [https://whsp.red/yqihaley104344 BloodVitals monitor] &lt;/ins&gt;localized by only a few receiver coils, potentially causes excessive geometric issue (g-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;issue&lt;/ins&gt;) values &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;because &lt;/ins&gt;of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;ill&lt;/ins&gt;-conditioning of the inverse &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;downside &lt;/ins&gt;by &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;including &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;big &lt;/ins&gt;number of coils &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;that &lt;/ins&gt;are distant from the area of interest, thus making it &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;difficult &lt;/ins&gt;to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;attain &lt;/ins&gt;detailed sign evaluation. 2) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;signal &lt;/ins&gt;variations between the same &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;part &lt;/ins&gt;encoding (PE) traces &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;throughout &lt;/ins&gt;time introduce &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;picture &lt;/ins&gt;distortions &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;throughout &lt;/ins&gt;reconstruction with temporal regularization. To handle these &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;points&lt;/ins&gt;, Bold activation needs to be separately evaluated for &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;both &lt;/ins&gt;spatial and temporal &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;characteristics&lt;/ins&gt;. A time-series of fMRI photos was then reconstructed &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;beneath &lt;/ins&gt;the framework of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;robust &lt;/ins&gt;principal &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;component analysis &lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;okay&lt;/ins&gt;-t RPCA) (37-40) which &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;can &lt;/ins&gt;resolve probably correlated data from unknown partially correlated &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;photos &lt;/ins&gt;for reduction of serial correlations.&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>LeolaHardwicke</name></author>	</entry>

	<entry>
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		<title>KatriceAusterlit: Die Seite wurde neu angelegt: „&lt;br&gt;Issue date 2021 May. To achieve highly accelerated sub-millimeter decision T2-weighted useful MRI at 7T by developing a 3-dimensional gradient and spin ech…“</title>
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				<updated>2025-08-10T04:08:07Z</updated>
		
		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „&amp;lt;br&amp;gt;Issue date 2021 May. To achieve highly accelerated sub-millimeter decision T2-weighted useful MRI at 7T by developing a 3-dimensional gradient and spin ech…“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;br&amp;gt;Issue date 2021 May. To achieve highly accelerated sub-millimeter decision T2-weighted useful MRI at 7T by developing a 3-dimensional gradient and spin echo imaging (GRASE) with internal-volume selection and variable flip angles (VFA). GRASE imaging has disadvantages in that 1) ok-area modulation causes T2 blurring by limiting the variety of slices and  [https://krtie.co/aozshani392072 BloodVitals SPO2] 2) a VFA scheme results in partial success with substantial SNR loss. On this work, accelerated GRASE with controlled T2 blurring is developed to improve some extent spread operate (PSF) and temporal signal-to-noise ratio (tSNR) with numerous slices. Numerical and experimental studies had been performed to validate the effectiveness of the proposed methodology over common and VFA GRASE (R- and V-GRASE). The proposed technique, while reaching 0.8mm isotropic decision, practical MRI in comparison with R- and V-GRASE improves the spatial extent of the excited volume as much as 36 slices with 52% to 68% full width at half most (FWHM) discount in PSF however approximately 2- to 3-fold imply tSNR improvement, thus resulting in greater Bold activations.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;We successfully demonstrated the feasibility of the proposed method in T2-weighted practical MRI. The proposed methodology is very promising for  [https://registry.gametuoitho.vn/jfnandrew73403 BloodVitals insights] cortical layer-particular useful MRI. Because the introduction of blood oxygen degree dependent (Bold) contrast (1, 2), practical MRI (fMRI) has grow to be one of the mostly used methodologies for  [http://giggetter.com/blog/19271/bloodvitals-spo2-the-ultimate-home-blood-monitoring-device/ BloodVitals SPO2] neuroscience. 6-9), wherein Bold results originating from bigger diameter draining veins might be considerably distant from the precise sites of neuronal exercise. To concurrently obtain excessive spatial decision whereas mitigating geometric distortion within a single acquisition, interior-volume choice approaches have been utilized (9-13). These approaches use slab selective excitation and refocusing RF pulses to excite voxels inside their intersection, and  [https://gitlab-ng.conmet.it/felixpohlman4 BloodVitals SPO2] limit the field-of-view (FOV), in which the required number of section-encoding (PE) steps are lowered at the identical resolution so that the EPI echo train length becomes shorter along the section encoding direction. Nevertheless, the utility of the inside-volume based mostly SE-EPI has been limited to a flat piece of cortex with anisotropic decision for masking minimally curved grey matter space (9-11). This makes it difficult to find applications beyond primary visual areas notably within the case of requiring isotropic high resolutions in other cortical areas.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;3D gradient and spin echo imaging (GRASE) with interior-volume selection, which applies a number of refocusing RF pulses interleaved with EPI echo trains at the side of SE-EPI, alleviates this problem by permitting for  [http://code.sz-chaohui.cn/rosiedowner585 BloodVitals test] extended volume imaging with high isotropic decision (12-14). One major concern of utilizing GRASE is image blurring with a wide level spread operate (PSF) in the partition route because of the T2 filtering effect over the refocusing pulse practice (15, 16). To reduce the image blurring, a variable flip angle (VFA) scheme (17, 18) has been included into the GRASE sequence. The VFA systematically modulates the refocusing flip angles as a way to sustain the sign strength throughout the echo train (19), thus rising the Bold signal modifications in the presence of T1-T2 combined contrasts (20, 21). Despite these advantages, VFA GRASE still leads to significant lack of temporal SNR (tSNR) attributable to lowered refocusing flip angles. Accelerated acquisition in GRASE is an appealing imaging choice to cut back both refocusing pulse and EPI practice length at the same time.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;On this context, accelerated GRASE coupled with image reconstruction methods holds nice potential for both reducing picture blurring or improving spatial volume along each partition and part encoding instructions. By exploiting multi-coil redundancy in alerts, parallel imaging has been efficiently applied to all anatomy of the body and works for both 2D and 3D acquisitions (22-25). Kemper et al (19) explored a mixture of VFA GRASE with parallel imaging to extend quantity coverage. However, the limited FOV, localized by only a few receiver coils, potentially causes excessive geometric issue (g-factor) values as a consequence of ailing-conditioning of the inverse drawback by together with the massive number of coils which are distant from the area of interest, thus making it challenging to realize detailed sign evaluation. 2) sign variations between the same phase encoding (PE) traces across time introduce image distortions during reconstruction with temporal regularization. To handle these issues,  [http://www.vokipedia.de/index.php?title=Benutzer:KatriceAusterlit BloodVitals SPO2] Bold activation needs to be separately evaluated for  [https://xqr.ai/margaritad BloodVitals SPO2] each spatial and temporal traits. A time-series of fMRI photos was then reconstructed under the framework of sturdy principal element evaluation (ok-t RPCA) (37-40) which may resolve probably correlated data from unknown partially correlated photographs for reduction of serial correlations.&amp;lt;br&amp;gt;&lt;/div&gt;</summary>
		<author><name>KatriceAusterlit</name></author>	</entry>

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